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4 years ago

Identify the end behavior of the function f(x) = -6x5 + 7x3 – 5x + 8.

Mathematics

1 answer:

ASHA 777 [7]4 years ago

3 0

Answer:

Use the degree and the leading coefficient to determine the behavior.

Rises to the left and falls to the right

Step-by-step explanation:

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A man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. How fast

Talja [164]

Answer:

4.41 feet per second.

Step-by-step explanation:

Please find the attachment.

We have been given that a man flies a kite at a height of 16 ft. The wind is carrying the kite horizontally from the man at a rate of 5 ft./s. We are asked to find how fast must he let out the string when the kite is flying on 34 ft. of string.

We will use Pythagoras theorem to solve for the length of side x as:

$x^2+16^2=34^2$

$x^2=34^2-16^2$

$x^2=900\\\\x=30$

Now, we will use Pythagorean theorem to relate x and y because we know that the vertical side (16) is always constant.

$x^2+16^2=y^2$

Let us find derivative of our equation with respect to time (t) using power rule and chain rule as:

$2x\cdot \frac{dx}{dt}+0=2y\cdot \frac{dy}{dt}$

We have been given that $\frac{dx}{dt}=5$ , $y=34$ and $x=30$ .

$2(30)\cdot 5=2(34)\cdot \frac{dy}{dt}$

$300=68\cdot \frac{dy}{dt}$

$\frac{dy}{dt}=\frac{300}{68}$

$\frac{dy}{dt}=4.4117647058823529$

$\frac{dy}{dt}\approx 4.41$

Therefore, the man must let out the string at a rate of 4.41 feet per second.

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4 years ago

How to find the total surface area of cross section solid factors and how to use phytagoras theorem to determine unknown side th

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Answer:

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4 years ago

Which of the following is the product of the rational expressions shown below?

Vika [28.1K]

Answer:

Step-by-step explanation:

<em>a/b × d/c = a×d / b×</em><em>c</em>

Multiply the numerators 1st.

x × x = x^2

Next is the Denominator.

x+3 × x+2

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x × x + x × 2 + 3 × x + 6

x^2 + 2x + 3x + 6

x^2 + 5x + 6

Write the numerator & denominator in their respective places.

x^2 / x^2 + 5x + 6

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3 years ago

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Answer:

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3 years ago

Identify the end behavior of the function f(x) = -6x5 + 7x3 – 5x + 8.​

Identify the end behavior of the function f(x) = -6x5 + 7x3 – 5x + 8.